111100100000 has 144 divisors (see below), whose sum is σ = 289479269016. Its totient is φ = 41825280000.

The previous prime is 111100099997. The next prime is 111100100081. The reversal of 111100100000 is 1001111.

It can be written as a sum of positive squares in 12 ways, for example, as 14982739216 + 96117360784 = 122404^2 + 310028^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1667324 + ... + 1732676.

Almost surely, 2^111100100000 is an apocalyptic number.

111100100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144739634508).

111100100000 is an abundant number, since it is smaller than the sum of its proper divisors (178379169016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111100100000 is an frugal number, since it uses more digits than its factorization.

111100100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65405 (or 65377 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 111100100000 its reverse (1001111), we get a palindrome (111101101111).

The spelling of 111100100000 in words is "one hundred eleven billion, one hundred million, one hundred thousand".